Data Table 2: Coefficient of Kinetic Friction Angle -ẞ Angle - ẞ T2 [kg] [deg] [rad] Trial-1 Trial-2 Trial-3 [kg] [N] 0 0 0.540 0.55 0.55 0.55 5.40 45 π/4 0.63 0.64 0.63 0.63 6.18 90 π/2 0.70 0.72 073 0.72 7.06 135 유ㅠ 0.82 0.81 0.83 0.82 8.04 180 T 0.90 0.88 0.41 0.90 8.83 225 5+++ 1.1 1.08 1.09 1.09 10.69 270 1.21 1.32 1.35 1.24 12.65 315 1.34 1.35 1.36 1.35 13.24 360 2+ 1.60 1.67 1.68 1.65 16.19 405 TH 1.81 173 1.72 1.75 17.17 450 ㅠ 195 1.81 1.82 1.86 18.25 495 44H 2.17 2.25 2.21 2.21 21.68 540 3πT 2.38 2.31 2.34 2.34 22.96 585 13H+ t Zice 262 2.64 2.62 25.70 630 = {1+ 3.25 3.10 3.17 3.17 31.10 675 IS IT 3.65 3.70 3.70 350 3.62 35.51 720 4元 4.31 4.40 4.50 4.40 43.16 ote: If the scale is already in Newtons, there is no requirement to convert kilograms to New ease make the adjustments to the data table accordingly. Data Table 1: Coefficient of Static Friction Angle - ẞ Angle - B T₂ [kg] [deg] [rad] Trial-1 Trial-2 Trial-3 [kg] [N] 0 0 0.46 0.45 945 45 π/4 4.41 0.49 047 0.49 0.48 90 π/2 4.71 062 0.63 0.62 135 πT 0.62 6.08 0.63 053 0.54 0.57 5.59 180 0.69 0.71 225 0.70 687 ETT 0.67 0.77 0.82 0.75 7.36 270 3IT 0.97 0.8 0.89 0.90 315 1.000 8.83 ㅠ 6.995 كيديا 1.090 1.07 10.30 360 2T 1.119 1.126 1.18 1.14 11.18 405 &T 1.227 1.23 1.25 1.24 12.16 450 SIT 1.39 136 1.39 1.38 13.54 495 1.4$ 1.51 1.56 1.S 144.81 540 3T 1.60 1.58 1.59 1.59 15.60 585 13+++ 1.6.4 1.65 1.70 1.66 16.28 630 1/2+ 1.89 1.83 1.77 1.83 17.96 675 15, IT 180 1.80 17.06 1.81 180 720 4π 193 194 192 1.93 18.93 Multiply the mass in kilograms by the acceleration due to gravity, 9.81 m/s², to get the force (T) in Newton. Note: If the scale is already in Newtons, there is no requirement to convert kilograms to Newtons. Please make the adjustments to the data table accordingly. Data Analysis 1. Plot a graph of versus angle, radians. Use an exponential fit; = 3. From that analysis determine the value of T) and compare it to the actual value used in the 2. Determine the best coefficient of static friction. exercise.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter9: Dynamics Of A System Of Particles
Section: Chapter Questions
Problem 9.63P
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Data Table 2: Coefficient of Kinetic Friction
Angle -ẞ
Angle - ẞ
T2 [kg]
<T2>
<T2>
[deg]
[rad]
Trial-1
Trial-2
Trial-3
[kg]
[N]
0
0
0.540
0.55
0.55
0.55
5.40
45
π/4
0.63
0.64
0.63
0.63
6.18
90
π/2
0.70
0.72
073
0.72
7.06
135
유ㅠ 0.82
0.81
0.83
0.82
8.04
180
T
0.90
0.88
0.41
0.90
8.83
225
5+++
1.1
1.08
1.09
1.09
10.69
270
1.21
1.32
1.35
1.24
12.65
315
1.34
1.35
1.36 1.35
13.24
360
2+
1.60
1.67
1.68
1.65
16.19
405
TH
1.81
173
1.72
1.75
17.17
450
ㅠ
195
1.81
1.82
1.86
18.25
495
44H
2.17
2.25
2.21
2.21
21.68
540
3πT
2.38 2.31
2.34
2.34
22.96
585
13H+
t
Zice 262 2.64
2.62
25.70
630
= {1+
3.25 3.10
3.17
3.17
31.10
675
IS IT
3.65
3.70
3.70 350
3.62
35.51
720
4元
4.31 4.40
4.50
4.40
43.16
ote: If the scale is already in Newtons, there is no requirement to convert kilograms to New
ease make the adjustments to the data table accordingly.
Transcribed Image Text:Data Table 2: Coefficient of Kinetic Friction Angle -ẞ Angle - ẞ T2 [kg] <T2> <T2> [deg] [rad] Trial-1 Trial-2 Trial-3 [kg] [N] 0 0 0.540 0.55 0.55 0.55 5.40 45 π/4 0.63 0.64 0.63 0.63 6.18 90 π/2 0.70 0.72 073 0.72 7.06 135 유ㅠ 0.82 0.81 0.83 0.82 8.04 180 T 0.90 0.88 0.41 0.90 8.83 225 5+++ 1.1 1.08 1.09 1.09 10.69 270 1.21 1.32 1.35 1.24 12.65 315 1.34 1.35 1.36 1.35 13.24 360 2+ 1.60 1.67 1.68 1.65 16.19 405 TH 1.81 173 1.72 1.75 17.17 450 ㅠ 195 1.81 1.82 1.86 18.25 495 44H 2.17 2.25 2.21 2.21 21.68 540 3πT 2.38 2.31 2.34 2.34 22.96 585 13H+ t Zice 262 2.64 2.62 25.70 630 = {1+ 3.25 3.10 3.17 3.17 31.10 675 IS IT 3.65 3.70 3.70 350 3.62 35.51 720 4元 4.31 4.40 4.50 4.40 43.16 ote: If the scale is already in Newtons, there is no requirement to convert kilograms to New ease make the adjustments to the data table accordingly.
Data Table 1: Coefficient of Static Friction
Angle - ẞ Angle - B
T₂ [kg]
<T>
<T>
[deg]
[rad]
Trial-1
Trial-2
Trial-3
[kg]
[N]
0
0
0.46
0.45
945
45
π/4
4.41
0.49
047
0.49
0.48
90
π/2
4.71
062
0.63
0.62
135
πT
0.62 6.08
0.63
053
0.54
0.57
5.59
180
0.69
0.71
225
0.70 687
ETT
0.67
0.77
0.82
0.75 7.36
270
3IT
0.97
0.8
0.89
0.90
315
1.000
8.83
ㅠ
6.995
كيديا
1.090
1.07
10.30
360
2T
1.119
1.126
1.18
1.14
11.18
405
&T
1.227
1.23
1.25
1.24
12.16
450
SIT 1.39
136
1.39
1.38 13.54
495
1.4$
1.51
1.56
1.S
144.81
540
3T
1.60
1.58
1.59
1.59
15.60
585
13+++
1.6.4
1.65
1.70
1.66
16.28
630
1/2+
1.89
1.83
1.77
1.83
17.96
675
15, IT
180
1.80
17.06
1.81
180
720
4π
193
194
192
1.93 18.93
Multiply the mass in kilograms by the acceleration due to gravity, 9.81 m/s², to get the force (T)
in Newton.
Note: If the scale is already in Newtons, there is no requirement to convert kilograms to Newtons.
Please make the adjustments to the data table accordingly.
Data Analysis
1. Plot a graph of <T2> versus angle, radians. Use an exponential fit; =
3. From that analysis determine the value of T) and compare it to the actual value used in the
2. Determine the best coefficient of static friction.
exercise.
Transcribed Image Text:Data Table 1: Coefficient of Static Friction Angle - ẞ Angle - B T₂ [kg] <T> <T> [deg] [rad] Trial-1 Trial-2 Trial-3 [kg] [N] 0 0 0.46 0.45 945 45 π/4 4.41 0.49 047 0.49 0.48 90 π/2 4.71 062 0.63 0.62 135 πT 0.62 6.08 0.63 053 0.54 0.57 5.59 180 0.69 0.71 225 0.70 687 ETT 0.67 0.77 0.82 0.75 7.36 270 3IT 0.97 0.8 0.89 0.90 315 1.000 8.83 ㅠ 6.995 كيديا 1.090 1.07 10.30 360 2T 1.119 1.126 1.18 1.14 11.18 405 &T 1.227 1.23 1.25 1.24 12.16 450 SIT 1.39 136 1.39 1.38 13.54 495 1.4$ 1.51 1.56 1.S 144.81 540 3T 1.60 1.58 1.59 1.59 15.60 585 13+++ 1.6.4 1.65 1.70 1.66 16.28 630 1/2+ 1.89 1.83 1.77 1.83 17.96 675 15, IT 180 1.80 17.06 1.81 180 720 4π 193 194 192 1.93 18.93 Multiply the mass in kilograms by the acceleration due to gravity, 9.81 m/s², to get the force (T) in Newton. Note: If the scale is already in Newtons, there is no requirement to convert kilograms to Newtons. Please make the adjustments to the data table accordingly. Data Analysis 1. Plot a graph of <T2> versus angle, radians. Use an exponential fit; = 3. From that analysis determine the value of T) and compare it to the actual value used in the 2. Determine the best coefficient of static friction. exercise.
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